27727872 has 48 divisors (see below), whose sum is σ = 73939320. Its totient is φ = 9240576.

The previous prime is 27727871. The next prime is 27727877. The reversal of 27727872 is 27872772.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27727871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3888 + ... + 8400.

Almost surely, 2^27727872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36969660).

27727872 is an abundant number, since it is smaller than the sum of its proper divisors (46211448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27727872 is an equidigital number, since it uses as much as digits as its factorization.

27727872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4518 counting only the distinct ones).

The product of its digits is 153664, while the sum is 42.

The square root of 27727872 is about 5265.7261607493. The cubic root of 27727872 is about 302.6719537804.

The spelling of 27727872 in words is "twenty-seven million, seven hundred twenty-seven thousand, eight hundred seventy-two".